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Finding the Fourth Proportional to 854.92, 1,179.78 and 505.60

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Solution

The fourth proportional to 854.92, 1,179.78 and 505.60 is: 697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.92 : 1,179.78 = 505.60 : x
  2. Step 2: Convert to fraction form
    854.92/1,179.78 = 505.60/x
  3. Step 3: Cross multiply
    854.92x = 1,179.78 × 505.60
  4. Step 4: Simplify right side
    854.92x = 596,496.77
  5. Step 5: Solve for x
    x = 596,496.77/854.92
  6. Step 6: Final answer
    x = 697.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.